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Choose Calculator (n choose r)

Calculate C(n, r)



Formula

The formula to calculate C(n,r) is:

C(n,r)=n!r!(nr)!

Where:

Choose Definition

"Choose" is a term used in math to describe the operation of taking the combination of two numbers. It represents the number of ways to choose r elements from a set of n elements without regard to the order of selection.

Example Calculations

Example 1:

Using the formula:

C(5,3)=5!3!(53)!=5!3!2!=12062=10

The number of combinations is 10.

Example 2:

Using the formula:

C(6,2)=6!2!(62)!=6!2!4!=720224=15

The number of combinations is 15.